What is the area of a triangle with a base length of 3 1/2 inches and a geight of 3 inches?

Answer:

7.2 =x

Step-by-step explanation:

We know that

sin theta = opp / hyp

sin 41 = x/y

sin 41 = x/11

11 sin 41 =x

7.216649319 =x

Rounding to 1 decimal place

7.2 =x

a. The decimal is terminating and the rational number is 0.

b. The decimal is terminating and the rational number is 0.

c. The decimal is repeating and the rational number is 0.161616...

d. The decimal is terminating and the rational number is 0.

To write a rational number as a decimal, you need to divide the numerator by the denominator. Let's go through each option to determine which decimal is repeating or terminating.

a. 0: This decimal is terminating because there are no numbers after the decimal point. The rational number is 0.

b. 0: This decimal is also terminating because there are no numbers after the decimal point. The rational number is 0.

c. 0.16 overbar: This decimal has a line over the 16, indicating that it is repeating. The rational number is 0.161616...

d. 0: This decimal is terminating because there are no numbers after the decimal point. The rational number is 0.

So, to summarize:

a. The decimal is terminating and the rational number is 0.

b. The decimal is terminating and the rational number is 0.

c. The decimal is repeating and the rational number is 0.161616...

d. The decimal is terminating and the rational number is 0.

.

To know more about rational number refer here:

https://brainly.com/question/24398433

#SPJ11

The maximum drawbar pull of the tractor under these conditions is - 33,087.38 lb (which means the tractor is being pulled back uphill with this force).

Given: Weight of tractor (W) = 42,320 lb

Angle of slope (θ) = 11% = 11/100

Efficiency of engine (η) = 89% = 0.89

Flywheel horsepower (hp) = 260

Rolling resistance (R) = 60 lb/ton

Speed of tractor (v) = 7.0 mph

To determine: Maximum drawbar pull (P)

Under these conditions

Formula used: Power = Force × Velocity (P = F × v)

Rolling resistance (R) = (W / 2000) × Rf (Rf = Rolling resistance in lb/ton)

Rolling resistance force = Rolling resistance (R) × g (g = 32.174 ft/s²)

Force = W × sinθ

Drawbar pull (P) = Force - Rolling resistance force

Calculation: Rf = 60 lb/ton

Rolling resistance (R) = (W / 2000) × Rf= (42,320 / 2000) × 60= 1274.88 lb

Rolling resistance force = Rolling resistance (R) × g= 1274.88 × 32.174= 41,031.84 lb

Force = W × sinθ= 42,320 × sin(11°) ≈ 7944.46 lb

Drawbar pull (P) = Force - Rolling resistance force= 7944.46 - 41,031.84 ≈ - 33,087.38 lb

Thus, the maximum drawbar pull of the tractor under these conditions is - 33,087.38 lb (which means the tractor is being pulled back uphill with this force).

Learn more about drawbar pull visit:

brainly.com/question/33260691

#SPJ11

Answer:

-1

Step-by-step explanation:

The y-intercept is the line that goes up and down and the point is on -1 so that's the y-intercepted

Answer: Slope: -1/2 Y-intercept = -1

Linear Equation: Y = -1/2x -1

Answer:

I think it's C but I'm not 100% sure

Answer: A. approximately 37.33° above the ground

Step-by-step explanation:

edge2020

The correct solution to the problem is that the direction of the resultant force will be approximately 37.33° from the horizontal above the ground.

For 30° Vector of 40 pounds :-

If we divide it in components it will become

40 cos 30° Î + 40 sin 30° Ĵ

40 × ( √3 / 2 ) Î + 40 × ( 1 / 2 ) Ĵ

34.64 Î + 20 Ĵ    ( approximately )

For 45° Vector of 35 pounds :-

If we divide it in components it will become

35 cos 45° Î + 35 sin 45° Ĵ

35 × ( 1 / √2 ) Î + 35 × ( 1 / √2 ) Ĵ

24.75 Î + 24.75 Ĵ    ( approximately )

Now adding both vectors

( 24.75 + 34.64 ) Î + ( 24.75 + 20 ) Ĵ    ( approximately )

59.39 Î + 44.74 Ĵ    ( approximately )

Now Using formula of Tan θ to find the value of θ

( Tan θ = Perpendicular / Base )

Tan θ =  44.74 / 59.39

Tan θ =  0.75    ( approximately )

θ =  Tan⁻¹ (0.75)    ( approximately )

θ =  36.87°    ( approximately )

We are calculated the value of θ as 36.87° which is approximate value as we used a lot of approximations while calculating and, the closest option given is 37.33° which is again an approximate value.
So we can say that the correct answer to this problem is The direction of the resultant force will be approximately 37.33° from the horizontal above the ground.

Learn more about Vectors here:

https://brainly.com/question/25705666

#SPJ2

the slope-intercept form is:

Where m is the slope

b is the y-intercept

The rule to find the slope is:

The points (3, 10) and (6, 12) are on the line, so let us use them

x1 = 3, x2 = 6

y1 = 10, y2 = 12

let us substitute them in the rule of m

Substitute m in the form of the equation

To find b substitute x and y by the coordinates of any given point

let x = 3 and y = 10 (1st point)

The value of b is 8, substitute it in the equation

This is the slope-intercept form of the line passes through the given points

Muscular Endurance - The ability of a skeletal muscle or group of muscles to continue contracting over a long period.

Step-by-step explanation:

I hope it'll help you...

Answer:

Muscular endurance is the ability of a muscle or group of muscles to sustain repeated contractions against a resistance for an extended period of time.

Step-by-step explanation:

:)

Hi there! :)

Answer:

\(\huge\boxed{6}\)

Let "x" represent a number.

Adding the number to itself gives us x + x, or 2x.

Multiplying by 3 gets 36, therefore:

36 = 3 · 2x

Simplify:

36 = 6x

Divide both sides by 6:

36/6 = 6x/6

x = 6.

Answer:

(C.) AC¯¯¯¯¯≅EG¯¯¯¯¯     is true

Step-by-step explanation:

The positions of the letters in naming the triangles in the statement of congruent tells you which sides are congruent.

△ABC≅△EFG

Sides AB and EF are congruent

△ABC≅△EFG

Sides BC and FG are congruent

△ABC≅△EFG

Sides AC and EG are congruent

Look at the choices:

(C.) AC¯¯¯¯¯≅EG¯¯¯¯¯     is true

Answer:

f(-1)=3

Step-by-step explanation:

plug in -1 for x

-(-1)+2

negative and negative make a positive 1+2=3

Answer: 60

Step-by-step explanation:

you just take the value of the number your looking at and turn it into its original whole number. e.g. the value of 2 in that equation would be 200

Answer:

y=-x+3/2, I hope that I hoped, and by the way, it is NEGATIVE x. It's a little hard to see :P

Answer:

y=2x + (-1)

Slope is m=2 and the y-intercept is b= -1

The share of first, second and third will be 22875, 7625 , 61000 respectively

Let the share of first, second and third on be x, y, z respectively

We know the total share between three friends = 91500

x+y+z = 91500 ....(i)

Then,

First gets share three times as much as second

x = 3y ......(ii)

Third gets share twice as much as the other two combined

z = 2(x+y) ......(iii)

Solving equation (i),(ii) and (iii) we get,

3y+y+2(3y+y) = 91500

12y = 91500

y = 7625

Similarly, putting value of y in (ii) and (iii) equation we get,

x = 22,875

z = 61,000

To learn more about share, here

https://brainly.com/question/17487106

#SPJ4

Answer:

20%

Step-by-step explanation:

as we add 10 +25 = 35

so if we subract 40 from 35 it is 5 so mangoes are 5

5

_ × 100 =20%

25

The square root function is the quadratic function reflected across.

We have given that,

a quadratic parent function and a square root parent function

A. The square root function is the quadratic function reflected across

the y-axis.

B. The square root function is the quadratic function reflected across

the line y = x, with a limited domain.

C. The square root function is the quadratic function reflected across

the x-axis.

We have to determine the correct option.

A parent function is the simplest function of a family of functions that preserves the definition of the entire family.

The correct option is,

B. The square root function is the quadratic function reflected across.

the line y = x, with a limited domain.

graph y=x^2 and y=√x and y=x

graph is attached

To learn more about the graph of function visit:

https://brainly.com/question/4025726

SPJ1

The new water level is a decrease of 1.09 cm compared to the original water level.

The water levels are compared using subtraction and addition operations.

The changes in the water level each week are given as follows:

Hence the total change is given as follows:

-1.9 + 3.67 - 2.86 = -1.09.

Meaning that the new water level is a decrease of 1.09 cm compared to the original water level.

More can be learned about subtraction operations at https://brainly.com/question/550188

#SPJ1

Shawn's first statement is correct. A trapezoid is a quadrilateral with at least one pair of parallel sides. A rectangle is a quadrilateral with four right angles and opposite sides of equal length. It is not possible to draw a trapezoid that is a rectangle, because the two shapes have different sets of properties.

However, Shawn's second statement is incorrect. A square is a type of rectangle in which all sides are of equal length. So, every square is a rectangle, but not every rectangle is a square. So it is not accurate to say that it is possible to draw a square that is a rectangle, because a square is already a type of rectangle.

To find more questions on Geometry

https://brainly.com/question/24375372

#SPJ4

Suppose Z has a standard normal distribution with a mean of 0 and a standard deviation of 1. 27% of the possible Z values are smaller than  0.613.

The standard normal distribution, also known as the z-distribution, is a special normal distribution with a mean of 0 and a standard deviation of 1. The normal distribution can be standardized by converting its value to a z-score. The Z-score indicates how many standard deviations each value has from the mean.

The standard normal distribution (z distribution) is a normal distribution with a mean of 0 and a standard deviation of 1. Each point (x) of the normal distribution can be converted to the standard normal distribution (z) using the equation z = (x-mean) / standard deviation.

Learn more about standard normal distribution here: https://brainly.com/question/4079902

#SPJ4

1) angle UWV

2) angle VWU

The total cost of the brackets before tax = $89.70

Height = 9 feet

length = 10 feet

Wall brackets come in 48-in cost $12.95 and 60-in costing $16.95

Distance of brackets from ends = 1 foot

Maximum distance between brackets = 24 inches

The brackets are:

  48/12= 4feet, and 60/12 = 5feet

One of each must be used to cover the height of the shelf.

The length of the shelf is 60 inches

On subtracting 1 foot from each side of the allowance we get, 60-2 = 58-in

Then dividing by 24 we get

58/24 ≈3

The Total cost = (12.95 + 16.95)×3

                        = $89.70

To know more about the Cost and tax refer to the link given below:

https://brainly.com/question/25811981

#SPJ4

The rectangle with:

Factorize the volume expression

If a > 4, then:

Since the longest dimension is the length, it is

The breadth is the middle dimension,  it is

The height is the smallest dimension, it is

The area of the floor is:

Answer:

i)  length > 9 ft

   breadth > 5 ft

   height > 3 ft

ii)  Area of floor > 45 ft²

Step-by-step explanation:

Volume of a rectangular prism

\(\textsf{V}=lbh\)

where:

Given:

Part (i)

To find expressions for the 3 dimensions of the tank, factor the expression for Volume.

Using the Factor Theorem, if V(x) = 0 then (a - p) is a factor:

\(\implies \sf V(1)=2(1)^3+(1)^2-2(1)-1=0\)

\(\implies \sf V(-1)=2(-1)^3+(-1)^2-2(-1)-1=0\)

Therefore  (a - 1)  and  (a + 1)  are factors:

\(\implies \sf 2a^3+a^2-2a-1=(a-1)(a+1)(2a+p)\)

(where p is a constant to be found)

To find the value of p, expand:

\(\implies \sf 2a^3+a^2-2a-1=2a^3+pa^2-2a-1\)

and compare coefficients:

\(\implies \sf a^2=pa^2 \implies p=1\)

Therefore:

\(\implies \sf 2a^3+a^2-2a-1=(a-1)(a+1)(2a+1)\)

If  l > b  and  b > h  then:

If a > 4 ft then:

Part (ii)

The area of the floor can be found by multiplying the found expressions for breadth and length:

\(\begin{aligned}\implies \sf Area\:of\:floor & =(a+1)(2a+1)\\& = 2a^2+3a+1\end{aligned}\)

If a > 4 ft then Area of floor > 45 ft²

Answer:

Step-by-step explanation:

Let L be the Length and W be the Width of a rectangle.

We are told that:    L = 4W   [the length of a rectangle is four times its width]

Perimeter = 2L + 2W

We learn that P ≤ 130 cm

2L + 2W ≤ 130 cm

Substitute L = 4W:  

2L + 2W ≤ 130 cm

2(4W) + 2W ≤ 130 cm

10W ≤ 130 cm

W ≤ 13 cm

Options:

2w + 2 • (4w) < 130     Not correct since the < sign does not allow for the "at most 130 cm.")

2w + 2 • (4w) > 130      Must be ≤, not >

2w + 2 • (4w) ≤ 130   This option works since the ≤ sign is correct.

Given:

Faiz's total online shipping bill comes to £45.71.

He then receives discount of £15.90.

To find:

How much does he have to finally pay after the discount?

Solution:

We have,

Amount of bill = £45.71

Discount amount = £15.90

Now,

Final payment = Amount of bill - Discount amount

                        =  £45.71 - £15.90

                        = £29.81

Therefore, Faiz's have tp pay £29.81 after discount.

The number of oranges that are expected to weigh more than 4 oz is:

1400 - (1400 × 0.0228)≈ 1368.

The mean weight of the oranges growing in an orchard is 8 oz and standard deviation is 2 oz, the distribution of the weight of oranges can be represented as normal distribution.

From the batch of 1400 oranges, the number of oranges is expected to weigh more than 4 oz can be found using the formula for the Z-score of a given data point.

\(z = (x - μ) / σ\)

Wherez is the Z-score of the given data point x is the data point

μ is the mean weight of the oranges

σ is the standard deviation

Now, let's plug in the given values.

\(z = (4 - 8) / 2= -2\)

The area under the standard normal distribution curve to the left of a Z-score of -2 can be found using the standard normal distribution table. It is 0.0228. This means that 0.0228 of the oranges in the batch are expected to weigh less than 4 oz.

To know more about normal distribution  visit :

https://brainly.com/question/23418254

#SPJ11

Answer: Mesocyclone

Step-by-step explanation:

Answer:

140 sports articles

Step-by-step explanation:

7 x 20 = 140

Answer:

D(-4, -3), E(-7, 4), and F(-7, -3).

Step-by-step explanation:

The current coordinates are A(4, 2), B(7, 9), and C(7, 2).

If you reflect the coordinates over the y-axis, the y-values will not be changing, but the signs of the x-values will flip. So, you will have A'(-4, 2), B'(-7, 9), and C'(-7, 2).

When you translate the resulting triangle down 5 units, the y-values will decrease by 5 units. So, the coordinates of triangle DEF will be D(-4, -3), E(-7, 4), and F(-7, -3).

Hope this helps!

Answer:

D (-4, -3)

E (-7, 4)

F (-7,-3)

Step-by-step explanation:

Well triangle ABC reflected over the y-axis to make triangle DEF looks like the image below. ↓

Then we have to translate triangle DEF 5 units down.

With the coordinates D, E, F,

D (-4,2)

E (-7,9)

F (-7,2)

To translate it 5 units down we just subtract the y coordinates by 5.

D (-4, -3)

E (-7, 4)

F (-7,-3)

Thus,

the coordinates for triangle DEF are (-4, -3) , (-7, 4) , (-7,-3).

Hope this helps :)

Slope of the line passing through (-5,-4)  and (-1,3)is 1.75

The slope formula

slope = (y₂ - y₁) / (x₂ - x₁)

Notice that the slope of a line is easily calculated by hand using small, whole number coordinates. The formula becomes increasingly useful as the coordinates take on larger values or decimal values.

The  points belong to an increasing, linear function.

Equation: y = 1.75x + 4.75.

m=7/4=1.75.

Learn more about slope of straight line here:

https://brainly.com/question/3605446

#SPJ9